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Finding the Fourth Proportional to 113.20, 169.32 and 82.42

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Solution

The fourth proportional to 113.20, 169.32 and 82.42 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.20 : 169.32 = 82.42 : x
  2. Step 2: Convert to fraction form
    113.20/169.32 = 82.42/x
  3. Step 3: Cross multiply
    113.20x = 169.32 × 82.42
  4. Step 4: Simplify right side
    113.20x = 13,955.35
  5. Step 5: Solve for x
    x = 13,955.35/113.20
  6. Step 6: Final answer
    x = 123.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.